00:01
Okay, and your question, you're asked to figure out how many miles on the surface of the earth correspond to a six degree angle of latitude.
00:07
So i've drawn a cross -section of the earth showing the radius and the angle six degrees.
00:14
There's actually two approaches to do this, and i'm going to start my first approach with if you need to use just degrees.
00:22
If i was using just degrees, i would find the circumference of the circle, which is the formula 2 pi r.
00:31
So 2 times pi times 3 ,960.
00:36
And then what we're going to do, since we're only working with six degrees, we would say we're going to multiply that by 6 over 360.
00:48
Since there's 360 total degrees in a circle, and we're working with a fraction of that.
00:55
So if you type that all into the calculator at one time, you would get the correct answer.
01:02
So 2 times pi times 3 ,960 times 6 over 360.
01:18
And it works out to 414 .690 miles...